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Finding the Fourth Proportional to 8,410.50, 12,621.51 and 2,938.50

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Solution

The fourth proportional to 8,410.50, 12,621.51 and 2,938.50 is: 4,409.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.50 : 12,621.51 = 2,938.50 : x
  2. Step 2: Convert to fraction form
    8,410.50/12,621.51 = 2,938.50/x
  3. Step 3: Cross multiply
    8,410.50x = 12,621.51 × 2,938.50
  4. Step 4: Simplify right side
    8,410.50x = 37,088,307.14
  5. Step 5: Solve for x
    x = 37,088,307.14/8,410.50
  6. Step 6: Final answer
    x = 4,409.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.